According to a doctor's estimation, the normal distribution N(6.4, 0.7) fits the adult femur length of a certain race stated in inches.   I.) Without technology, what range of lengths make up the middle 95%? How did you come to this conclusion? II.) what percentage of femurs in this race had a length between 6 and 7 inches? III.) Which length range makes up the middle 20% of femurs?

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According to a doctor's estimation, the normal distribution N(6.4, 0.7) fits the adult femur length of a certain race stated in inches.

 

I.) Without technology, what range of lengths make up the middle 95%? How did you come to this conclusion?

II.) what percentage of femurs in this race had a length between 6 and 7 inches?

III.) Which length range makes up the middle 20% of femurs?

IV.) What is the probability that the average length of a sample of 10 will be below 6 inches? 

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